Hubbard Model Visualizer (1D, Hubbard-I)

Tight-binding $\varepsilon_k=-2t\cos k $, bandwidth $ W=4t $. Self-energy $ \Sigma(\omega)=\frac{U^2}{4}\,\frac{1}{\omega+i\eta} $.

Interaction strength $U/t$:

Discrete presets from the precompute script; extend U_over_t_list to add more.

Broadening $ \eta $ (display Lorentzian):

Base baked $ \eta_{base}= $. The slider adds extra broadening.

Lifetime smearing model

Adds a frequency-dependent ImΣ on top of the constant η.

Lifetime strength S:

Scales the ω-dependent broadening; 0 = off, 100 = max.

Hubbard Model Visualizer — 1D (Hubbard-I, half-filling)